You bet! not in NYC though, I think anyway. I'm originally from Long Island and they're a little bit of sticklers about the "type" of permit they issue. But where I live, in upstate NY, it's a rural county, and permits are issued by the individual counties and their magistrates. So, it's really up to the discretion of the particular issuer of the permit with respect to the permit issued, i.e., for hunting, target or full carry or whatever.